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Finding the Fourth Proportional to 1,009.25, 1,513.99 and 315.91

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Solution

The fourth proportional to 1,009.25, 1,513.99 and 315.91 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.25 : 1,513.99 = 315.91 : x
  2. Step 2: Convert to fraction form
    1,009.25/1,513.99 = 315.91/x
  3. Step 3: Cross multiply
    1,009.25x = 1,513.99 × 315.91
  4. Step 4: Simplify right side
    1,009.25x = 478,278.35
  5. Step 5: Solve for x
    x = 478,278.35/1,009.25
  6. Step 6: Final answer
    x = 473.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.